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Maximum entropy method for solving nonlinear ill posed problems. II
1997Summary: For part I cf. Zbl 0876.35129. This paper continues the discussion of the maximum entropy method to solve nonlinear ill-posed problems. The rate of convergence is established under appropriate conditions and an example is given to illustrate the applicability.
Jin, Qinian, Hou, Zongyi
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A regularizing trust region algorithm for nonlinear ill-posed problems
Inverse Problems in Science and Engineering, 2006In this article, the trust region method for the stable solution of nonlinear ill-posed problems is considered. The regularization property of the proposed trust region method is verified. In addition, the algorithm remains locally super-linear convergence. Numerical experiments show that the proposed trust region method behaves very well.
Gaidi Li, Yanfei Wang
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Method of Discrepancy in Interpolation Spaces for Nonlinear Ill‐posed Problems
Mathematische Nachrichten, 1995AbstractIn this note we study a variational method of regularization to solve nonlinear ill‐posed problems involving monotone operators in infinite dimensional Banach space, when perturbative operators are non ‐ monotone, basing on minimization of norm in interpolation space over closed and convex sets.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Numerical solution of nonlinear ill-posed problems
1998A. N. Tikhonov +2 more
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On an ILL-posed problem in nonlinear heat conduction
Transport Theory and Statistical Physics, 2000S. Rionero, I. Torcicollo
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